A Triangular Journey
... 3. Now substitute k + 1 for k and rearrange or otherwise show that the new formula works or is the same as the old one plus the new term. 4. Since it was true for n = 1, which could have been k, and it is also true for k+1, it is logical that like the dominoes, our formula is true for all n. For Exa ...
... 3. Now substitute k + 1 for k and rearrange or otherwise show that the new formula works or is the same as the old one plus the new term. 4. Since it was true for n = 1, which could have been k, and it is also true for k+1, it is logical that like the dominoes, our formula is true for all n. For Exa ...
Fast and Accurate Bessel Function Computation
... or even billion, we can examine the zeros exhaustively using a suitable truncation of this formula to approximate them. And for m > 270 or so, all terms but the first are sufficiently small in magnitude that we can reduce matters to the well-known linear case, which has already been analyzed for tri ...
... or even billion, we can examine the zeros exhaustively using a suitable truncation of this formula to approximate them. And for m > 270 or so, all terms but the first are sufficiently small in magnitude that we can reduce matters to the well-known linear case, which has already been analyzed for tri ...
1.3 Limits and Continuity
... We want it to mean that we can make f (x) get as close to L as we want (except, possibly, equalling L) by picking x close enough, but not equal, to b. In what sense do we mean “close”? We mean in terms of the distance between the numbers, and this is most easily stated in terms of absolute value; th ...
... We want it to mean that we can make f (x) get as close to L as we want (except, possibly, equalling L) by picking x close enough, but not equal, to b. In what sense do we mean “close”? We mean in terms of the distance between the numbers, and this is most easily stated in terms of absolute value; th ...
Ch. 5A Arithmetic Sequences
... In example 10, you can see the numbers in the sequence were getting smaller so we were adding a (–5). Sec 2. ...
... In example 10, you can see the numbers in the sequence were getting smaller so we were adding a (–5). Sec 2. ...
Detailed Lesson Plans
... pattern of four shapes in the first pattern and the rule of increasing numbers of dark squares in the second pattern. Ps find solutions (T agrees or asks other Ps) and volunteer Ps come to OHP and continue the patterns. After agreement (and praising) everyone draws it on their sheet. The fifth patte ...
... pattern of four shapes in the first pattern and the rule of increasing numbers of dark squares in the second pattern. Ps find solutions (T agrees or asks other Ps) and volunteer Ps come to OHP and continue the patterns. After agreement (and praising) everyone draws it on their sheet. The fifth patte ...
Ch 5 Closure – Sequences VOCABULARY: arithmetic sequence
... When the points on a graph are not connected (like for a sequence), the graph is called this. ...
... When the points on a graph are not connected (like for a sequence), the graph is called this. ...
click here for nth term sequences
... time, and $5.00 the fourth time. Write a function that describes the sequence, and then use the function to predict her earnings ...
... time, and $5.00 the fourth time. Write a function that describes the sequence, and then use the function to predict her earnings ...
Getting Started Marathon 3
... 37. (236factorial) Point P lies on the line x=-3 and is 10 units from the point (5,2). Find the product of all possible y-coordinates that satisfy the given conditions. 38. (236factorial) What is the positive difference between the sum of the first 25 even integers and the sum of the first 20 odd in ...
... 37. (236factorial) Point P lies on the line x=-3 and is 10 units from the point (5,2). Find the product of all possible y-coordinates that satisfy the given conditions. 38. (236factorial) What is the positive difference between the sum of the first 25 even integers and the sum of the first 20 odd in ...
Functions and Function Notation Notes
... relationship that exists between the independent (x) and dependent (y) variables. Ex 7. The equation y = 2x + 1, tells us that the output value is equal to 1 more than twice the input value. We can use the function rule to pair x values with y values and create ordered pairs. Let’s input the value 3 ...
... relationship that exists between the independent (x) and dependent (y) variables. Ex 7. The equation y = 2x + 1, tells us that the output value is equal to 1 more than twice the input value. We can use the function rule to pair x values with y values and create ordered pairs. Let’s input the value 3 ...
